The Survey Of Decentralized Robust Control Of Large Scale Systems

Based on the differential geometry, Stochastic Analysis, The theory of stabilization and the knowledge correlate with the differential equations,we discuss the problem of the exact linearization of the decentralized control systems and the decentralized robust control of large-scale systems, by using Lyapunov function, Linear Martrix Inequality (LMI), Stochastic Lyapunov function, Backstepping and the corresponding mathematical tools in this paper. Especially we study the decentralized robust control of uncertain interconnected systems and It(?) type nonlinear large-scale systems extensively, and obtained some useful results. This essay is organized as follows:In the first chapter, we give the research significance of this paper at first through looking back on the development of the control theory, and present the problems, at last we analysis the current situation correlate to the paper domestic and abroad.Using the knowledge of differential geometry and decentralized control theory, we study the exact linearization of a generalized decentralized nonlinear control system with N control stations in the second chapter. We also discuss the exact linearization of It(?) type stochastic decentralized systems in this part.The problem of decentralized robust control of a class of uncertain nonlinear interconnected large-scale systems with similar structure and complete uncertainty is discussed in the third chapter. The uncertainty satisfies the matched conditions, at the same time, decentralized robust controller via state feedback is given which can robust stabilize the large-scale systems. The design of controller is based on the method of design of variable structure controller, and considering the uncertain input plus of systems. At the end of this part, we study the problem of decentralized robust control of linear uncertain interconnected large-scale system with time delay.In the forth chapter, based on the design of adaptive controller, by using backstepping method, the appropriate quartic stochastic Lyapunov function that is different from the deterministic case is given. Meanwhile we study the decentralized robust stability in probability for a class of It(?) type stochastic nonlinear large scale system, and the designing procedure of state-feedback and dynamic output-feedback decentralized robust adaptive controller are given systematically.At the end of the paper, we give a premature explain and vista based on the above analysis.